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Simplifying 7n2 = 49n Solving 7n2 = 49n Solving for variable 'n'. Reorder the terms: -49n + 7n2 = 49n + -49n Combine like terms: 49n + -49n = 0 -49n + 7n2 = 0 Factor out the Greatest Common Factor (GCF), '7n'. 7n(-7 + n) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(-7 + n)' equal to zero and attempt to solve: Simplifying -7 + n = 0 Solving -7 + n = 0 Move all terms containing n to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + n = 0 + 7 n = 0 + 7 Combine like terms: 0 + 7 = 7 n = 7 Simplifying n = 7Solution
n = {0, 7}
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